Welcome to the website of researchers working in Bilbao (either at UPV/EHU or at BCAM) in mathematical analysis, partial differential equations, inverse problems, mathematical physics, and/or related topics.
UPV/EHU, Thursday, October 9th, 2025, 12:00 - 13:00
Title: Continuous density variations in the ocean
Théo Fradin - University of Bordeaux
The aim of this talk is to study the well-posedness of the incompressible Euler equations in an oceanic setting, including continuous density variations. Because of specific features of our setting (presence of a free-surface, small scale ratios, i.e. the shallow water parameter), a first approach will consist in studying the case of small density variations, which will lead to the justification of the well-known non-linear shallow water equations. We then move to a case where large density variations can be studied, which is when the density is strictly decreasing with height. This setting of so-called stable stratification is widely used in the study of geophysical flows, and is one of the main ingredients that contribute to the global oceanic circulation, regulating the Earth' climate.